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Three metallic solid cubes whose edges are 3 cm, 4 cm and 5 cm are melted and formed into a single cube.Find the edge of the cube so formed

Solution:

Given, three metallic solid cubes have edges 3 cm, 4 cm and 5 cm

Three cubes are melted and recast into a single cube.

We have to find the edge of the new cube.

Volume of the cube = a³

Given, edge of first cube = 3 cm

Volume = (3)³ = 27 cm³

Edge of the second cube = 4 cm

Volume = (4)³ = 64 cm³

Edge of the third cube = 5 cm

Volume = (5)³ = 125 cm³

Volume of the cube after melting = 27 + 64 + 125

= 216 cm³

Let x be the edge of the new cube

Volume of the new cube = x³

Given, x³ = 216

Taking cube root,

x = 6 cm

Therefore, the edge of the cube so formed is 6 cm

✦ Try This: Three metallic solid cubes whose edges are 2 cm, 5 cm and 7 cm are melted and formed into a single cube .Find the edge of the cube so formed.

☛ Also Check: NCERT Solutions for Class 10 Maths Chapter 13

NCERT Exemplar Class 10 Maths Exercise 12.3 Problem 1

Three metallic solid cubes whose edges are 3 cm, 4 cm and 5 cm are melted and formed into a single cube.Find the edge of the cube so formed

Summary:

Three metallic solid cubes whose edges are 3 cm, 4 cm and 5 cm are melted and formed into a single cube. The edge of the cube so formed is 6 cm

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